Before I make a fool of myself I'll apologize up front that I'm an absolute beginner in J... :-) and I love learning from these posts (although some are still beyond my reach).

Comment: Simple number theory says that all prime pairs are a multiple of 6 plus/minus 1, since when in mod 6 all numbers are remainder 0,1,2,3,4,5 and only 1,5 are possible primes. So by this rule any prime pairs you find must surround a simple multiple of 6

am I missing something?
Phil



On 5/14/2013 10:38 AM, Raul Miller wrote:
On Tue, May 14, 2013 at 10:08 AM, greg heil <[email protected]> wrote:
?? Where did that come from? As to the congruity of subjects we are speaking of 
... that is truly a philosophical question which, unlike Wittgenstein, is a 
morass i would prefer not to indulge in. Your contributions have beenvery, nay 
extremely, valuable to me over the years and so i will try to make this comment 
as just such a learning experience.

2.5 is not even an integer, how could it be a prime? i am just as prone to 
typos as anyone. (i do have a spell checker but it cannot reach all!) Indeed in 
this thread i typed 5 when i meant 4. However i never recall intimating that 
2.5 was a prime. Nor on review can i see that...

In your quote i said that 2 and 3 were the only solutions (note the plural) up 
to 1e8, of hpp. 2 is the solution for the prime pair (pp) 3 5, while 3 is for 5 
7.
If you are dealing with a pair of primes, it seems (or seemed) to me
that you are talking about the second paragraph in
http://jsoftware.com/pipermail/programming/2013-May/032541.html which
reads "Since both p & q (> 2) are prime, their sum is an even number
and not prime, but could the half of their sum be a prime?"

I can see that 2 is a valid p for the question posed in the first
paragraph, and that 3 is the corresponding result, but with your above
description you are examining a quarter of the sum of two primes and
not half the sum of two primes.

Re-reading a number of posts in this thread, I now see that your "hpp"
was indeed a different subject from the subject I thought I was
writing about. So that is the answer to my question - we were indeed
talking about different subjects.


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